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arXiv · 2601.00727

Avoiding Intersections of Dragon Curves

Reimund Albers·Zongyi Guo·Huaiyi Guo
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Abstract

This article proves that there are no self-intersections in the dragon curve when the unfolding angle is greater than 98.195{\deg}. This is shown by constructing a hull for the dragon curve that is mapped onto itself by the generating mappings for the dragon curve. The treatment is purely geometric. The proof is supplemented by a conjecture that reduces the boundary for the unfolding angle to 96.241{\deg}.

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Reimund Albers, Zongyi Guo, Huaiyi Guo. 2026-01-02. Avoiding Intersections of Dragon Curves. https://doi.org/10.1142/s0218348x2650009x

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